A stock index consists of businesses in both Europe and the United States. Assume that each business comprising the stock index makes a profit or loss independently of the other businesses in the index. Suppose that an American business on the stock index makes a profit 90% of the time and a European business makes a profit 40% of the time. If there are 1440 American businesses and 400 European businesses in the stock index, what is the expected number of businesses in the stock index to make a profit?
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- Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 51 stocks traded on the NYSE that day showed that 8 went up.You are conducting a study to see if the proportion of stocks that went up is significantly less than 0.3. You use a significance level of α=0.001α=0.001.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... This test statistic leads to a decision to... As such, the final conclusion is that...A business magazine mailed a questionnaire to the treasurers of all of the Top 400 most profitable companies, and received responses from 22% of them. Those responding reported that they did not find that such surveys intruded significantly on their workday. What is the population and sample? The sample is The population is 1. the 22% (88) of the treasurers who responded 2. the 78% (412) of the treasurers who did not respond 3. all treasurers of all companies 4. treasurers of the Top 400 most profitable companies 5. all profitable companies 6. The business magazine 7. all people 8. the proportion of those responding that said they did not find that such surveys intruded significantly on their workday.You are analyzing stocks of three companies you are interested in investing in. Suppose that these three stocks are Apple stock (AAPL), Microsoft (MSFT), and Tesla (TSLA). At the end of this month, each month may move up (increase in value), move down (decrease in value) or stay the same. In this case, an experiment consists of observing the price condition across the three stocks. Each of the three conditions (move up, move down, stay same) are equally likely. How many outcomes are in the sample space? List 7 of the outcomes. (use U for move up, D for moving down and S for staying the same) Let A be the event that all the stocks have the same performance. List the outcomes in A. Let B be the event that all of stocks are different. List the outcomes in B. Let C be the event that at least two stocks move up. Are events A and C mutually exclusive? Are events B and C mutually exclusive? What is the probability of ? What is the probability of ? What is the probability of ? What is the…
- A study identified top accounting firms across the United States. The Southeast and Gulf Coast regions reported the highest combined growths. A characteristic description of the accounting firms in the Southeast and Gulf Coast regions included the number of partners in the firm. Below represents the number of partners within various firms of the two regions [Southeast and Gulf Coast]. Southeast 174 Gulf Coast 79Southeast 45 Gulf Coast 106Southeast 29 Gulf Coast 22Southeast 51 Gulf Coast 22Southeast 40 Gulf Coast 38Southeast 10 Gulf Coast 17Southeast 29 Gulf Coast 27Southeast 37 Gulf Coast 21Southeast 32 Gulf Coast 17Southeast 22 Gulf Coast 12Southeast 9 Gulf Coast 9Southeast 30 Gulf Coast 6Southeast 21 Gulf Coast 9…An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.05 (5% of all such individuals). Homeowner's N L M н Auto L 0.04 0.05 0.05 0.02 M 0.07 0.11 0.20 0.11 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?…Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 58 stocks traded on the NYSE that day showed that 21 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.02.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to…
- An insurance company offers four different deductible levels—none, low, medium, and high—for its homeowner's policyholders and three different levels—low, medium, and high—for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Homeowner's Auto N L M H L 0.04 0.07 0.05 0.01 M 0.07 0.08 0.20 0.13 H 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (d) Based on your answer in part (c), what is the probability that the two categories are different?(e) What is the probability that the individual has at least one low deductible level?(f) Using the answer in part (e), what is the probability that neither deductible level is low?An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Auto L M H Homeowner's NLMH Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? 0.04 0.07 0.05 0.02 0.07 0.09 0.20 0.11 0.02 0.03 0.15 0.15 (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?…College instructors who adopt this book are (we hope!) twice as likely to continue to use the book the following year as they are to drop it, whereas nonusers are four times as likely to remain nonusers the following year as they are to adopt this book In the long term, what proportion of college instructors will be users of this book?
- Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 52 stocks traded on the NYSE that day showed that 18 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.10What is the test statistic for this sample? Use ˆpp^ rounded to 4 decimal places. (Report answer accurate to 4 decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to 4 decimal places.)p-value = The p-value is... less than (or equal to) α greater than α This p-value leads to a decision to... reject the null…Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 80 stocks traded on the NYSE that day showed that 22 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of a = 0.005. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =The Wall Street Journal's Shareholder Scoreboard tracks the performance of 1,000 major U.S. companies. The performance of each company is rated based on the annual total return, including stock price changes and the re investment of dividends. Ratings are assigned by dividing all 1,000 companies into five groups from A (top 20%) , B (next 20%), to E (bottom 20%). Shown here are the one- year ratings for a sample of 60 of the largest companies. ABCD 5 8 15 20 12 Do the largest companies differ in performance from the performance of the 1,000 companies in the Shareholder Scoreboard? Use α = 0.05. State the null and alternative hypotheses. Ho: The proportions of the largest companies compared to the 1,000 companies are the same for at least one of the five groups. Ha : The proportions of the largest companies compared to the 1,000 companies are different for all five groups. Ho: The largest companies differ in performance from the 1,000 companies. H₂: : The largest companies do not differ…
